Basic Arithmetic : Basic Statistics

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #2 : Median

Determine the median, from the set of numbers: 

Possible Answers:

Correct answer:

Explanation:

First put your set in numerical order, from smallest to largest

Median refers to the number in the middle, so if you count in from both sides the middle number of the set is 

Example Question #1 : Median

Find the median of the following set of numbers: 3, 5, 18, 6, 3. 

Possible Answers:

Correct answer:

Explanation:

The median of a set of numbers is the number that falls in the middle when the numbers are arranged from smallest to largest: 3, 3, 5, 6, 18.  The number that falls exactly in the middle of this set is 5, which is the median. 

Example Question #1 : Median

We are given the following number set:

8, 6, 10, 15, 7, 15 ,5, 14, 9, 5, 19, 18, 9, 16, 9

Find the median.

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of an ordered number set. By ordered number set, I mean that the numbers are arranged from lowest to largest. In this problem, we can arrange the number set from lowest to largest so that it is rewritten as

5, 5, 6, 7, 8, 9, 9, 9, 10, 14, 15, 15, 16, 18, 19

It looks like the middle-most number is 9.  Therefore, 9 is the median.

Example Question #1 : Median

Find the median of the set .

Possible Answers:

Correct answer:

Explanation:

The median of a set of numbers is simply the middle number in the ordered set. To find it, we can first put the set in order from least to greatest (greatest to least works just as well). The set can now be read as

Now, it is clear that the median number is 46. Don't confuse median and mean! The mean, or average value, is the result of the sum of all the values divided by the number of terms in the set.

Example Question #9 : Median

What is the median of the following numbers?

12,15,93,32,108,22,16,21

Possible Answers:

Correct answer:

Explanation:

To find the median, first you arrange the numbers in order from least to greatest.

Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.

So 

Then starting from the least side of the numbers count 4 numbers till you reach the median number of 

Then starting from the greatest side count 4 numbers until you reach the other median number of 

Finally find the mean of the two numbers by adding them together and dividing them by two 

to find the median number of .

Example Question #31 : Basic Statistics

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are  and . We average the two numbers to get 

Example Question #1651 : Algebra 1

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are seven. The middle number is 

Example Question #33 : Basic Statistics

The median is often useful to find for data sets where outliers distort the mean and make analysis difficult.

Find the median of the data set:

 

Possible Answers:

Correct answer:

Explanation:

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

 

 

 

To find the middle number, take the total  or number of values (not the values themselves), add 1, then divide by 2 to find the place of the median value. Since there are 13 numbers in this data set,  is 13:

 

Thus, our 7th number, or 9, is the median.

Example Question #34 : Basic Statistics

The median is often useful to find for data sets where outliers distort the mean and make analysis difficult.

What is the median of the data set?

Possible Answers:

None of these

Correct answer:

Explanation:

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

  

The median value is found by adding 1 to our , then dividing by 2 to find the place for our median:

Thus, halfway between our 5th and 6th value lies the median. These values are 18 and 19, so:

Thus, 18.5 is our median.

Example Question #35 : Basic Statistics

Using the data above, find the median. 

Possible Answers:

Correct answer:

Explanation:

The median is defined as the piece of data that is directly at the center of the data set given.

To find the median, the data first must be placed in numerical order: 

.

Since there is and odd number of data pieces, , we simply subtract , and divide the result in half. In this case, , half of  is . Therefore, there must be  pieces of data on either side of the number that is the median. The only number in this set of data that, if chosen, has three data pieces on either side is  To the left of  is . To the right of  is . Thus  is our median. 

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